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Mostrando ítems 1-11 de 11
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Artículo
Erratum: Nonlinear Dirac equation solitary waves in external fields [Phys. Rev. E 86, 046602 (2012)]
Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; Khare, Avinash; Saxena, Avadh (American Physical Society, 2016) -
Artículo
Forced nonlinear Schrödinger equation with arbitrary nonlinearity
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Mertens, Franz G.; Saxena, Avadh (2012)We consider the nonlinear Schrödinger equation (NLSE) in 1+1 dimension with scalar-scalar self-interaction g2κ+1(ψ☆ψ)κ+1 ...
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Interplay between parity-time symmetry, supersymmetry, and nonlinearity: An analytically tractable case example
Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús; Saxena, Avadh; Cooper, Fred; Khare, Avinash (American Physical Society, 2015)In the present work, we combine the notion of parity-time (PT ) symmetry with that of supersymmetry (SUSY) for a prototypical ...
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Artículo
Nonlinear Dirac equation solitary waves in external fields
Mertens, Franz G.; Quintero, Niurka R.; Cooper, Fred; Khare, Avinash; Saxena, Avadh (2012)We consider nonlinear Dirac equations (NLDE's) in the 1+1 dimension with scalar-scalar self-interaction g2κ+1(Ψ¯¯¯Ψ)κ+1 ...
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Artículo
Nonlinear Dirac equation solitary waves under a spinor force with different components
Mertens, Franz G.; Cooper, Fred; Sihong, Shao; Quintero, Niurka R.; Saxena, Avadh; Bishop, Alan R. (IOP, 2017)We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction in the presence of ...
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Artículo
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Mertens, Franz G.; Saxena, Avadh (IOP Publishing, 2020-01)The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter κ is analyzed, when ...
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Artículo
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry
Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh (IOP, 2017)We discuss the effect of small perturbation on nodeless solutions of the nonlinear Schrödinger equation in 1 + 1 dimensions ...
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Capítulo de Libro
Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics
Cuevas Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh; Cooper, Fred; Mertens, Franz G. (Nova, 2015)In the present work, we give a comparative summary of different recent contributions to the theme of the linear stability ...
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Artículo
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces
Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Sihong, Shao; Khare, Avinash; Saxena, Avadh (IOP, 2016)We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction in the presence of ...
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Artículo
Solitary waves of a PT -symmetric Nonlinear Dirac equation
Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Saxena, Avadh; Cooper, Fred; Khare, Avinash; Comech, Andrew; Bender, Carl M. (IEEE, 2016)In the present work, we consider a prototypical example of a PT -symmetric Dirac model. We discuss the underlying linear ...
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Artículo
Speed-of-light pulses in the massless nonlinear Dirac equation with a potential
Quintero, Niurka R.; Mertens, Franz G.; Cooper, Fred; Saxena, Avadh; Bishop, Alan R. (American Physical Society, 2017)We consider the massless nonlinear Dirac (NLD) equation in 1+1 dimension with scalar scalar self-interaction g² ̸ 2 (ψ ...